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155359848 = 233723311297
BaseRepresentation
bin10010100001010…
…01101001101000
3101211100002122110
421100221221220
5304233003343
623225522320
73564352110
oct1120515150
9354302573
10155359848
117a773176
12440433a0
1326257707
14168c2040
15d98c833
hex9429a68

155359848 has 128 divisors (see below), whose sum is σ = 478494720. Its totient is φ = 41057280.

The previous prime is 155359847. The next prime is 155359861. The reversal of 155359848 is 848953551.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 155359797 and 155359806.

It is not an unprimeable number, because it can be changed into a prime (155359847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119136 + ... + 120432.

It is an arithmetic number, because the mean of its divisors is an integer number (3738240).

Almost surely, 2155359848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155359848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239247360).

155359848 is an abundant number, since it is smaller than the sum of its proper divisors (323134872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155359848 is a wasteful number, since it uses less digits than its factorization.

155359848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1363 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The square root of 155359848 is about 12464.3430633146. The cubic root of 155359848 is about 537.5839110388.

The spelling of 155359848 in words is "one hundred fifty-five million, three hundred fifty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 56 62 69 84 92 93 124 138 161 168 184 186 217 248 276 322 372 434 483 552 644 651 713 744 868 966 1288 1297 1302 1426 1736 1932 2139 2594 2604 2852 3864 3891 4278 4991 5188 5208 5704 7782 8556 9079 9982 10376 14973 15564 17112 18158 19964 27237 29831 29946 31128 36316 39928 40207 54474 59662 59892 72632 80414 89493 108948 119324 119784 120621 160828 178986 208817 217896 238648 241242 281449 321656 357972 417634 482484 562898 626451 715944 835268 844347 924761 964968 1125796 1252902 1670536 1688694 1849522 2251592 2505804 2774283 3377388 3699044 5011608 5548566 6473327 6754776 7398088 11097132 12946654 19419981 22194264 25893308 38839962 51786616 77679924 155359848